8874440640 has 672 divisors, whose sum is σ = 35467600896. Its totient is φ = 2017198080.

The previous prime is 8874440633. The next prime is 8874440647. The reversal of 8874440640 is 460444788.

8874440640 is a `hidden beast` number, since 88 + 74 + 440 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8874440633) and next prime (8874440647).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8874440647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46462945 + ... + 46463135.

It is an arithmetic number, because the mean of its divisors is an integer number (52779168).

Almost surely, 2^8874440640 is an apocalyptic number.

8874440640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8874440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17733800448).

8874440640 is an abundant number, since it is smaller than the sum of its proper divisors (26593160256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8874440640 is a wasteful number, since it uses less digits than its factorization.

8874440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 8874440640 is about 94204.2495856742. The cubic root of 8874440640 is about 2070.3653769372.

The spelling of 8874440640 in words is "eight billion, eight hundred seventy-four million, four hundred forty thousand, six hundred forty".